Reaction Pathway Diagrams (Cambridge (CIE) AS Chemistry): Revision Note

Exam code: 9701

Caroline Carroll

Written by: Caroline Carroll

Reviewed by: Lucy Kirkham

Updated on

Reaction Pathway Diagrams

  • A reaction pathway diagram shows the energies of the reactants, the transition state(s) and the products of the reaction with time

    • They are sometimes called energy profile diagrams

  • The transition state is a stage during the reaction at which chemical bonds are partially broken and formed

  • The transition state is very unstable – it cannot be isolated and is higher in energy than the reactants and products

  • The activation energy (Ea) is the energy needed to reach the transition state

  • We can define the activation energy as ‘the minimum amount of energy needed for reactant molecules to have a successful collision and start the reaction’

Example reaction pathway diagram

Energy profile diagram showing the reaction of Cl₂ and H₂ to form HCl. Includes reactants, transition state, products, activation energy, and enthalpy change.
The reaction pathway diagram for the reaction of hydrogen with chlorine to form hydrogen chloride gas

Exothermic reaction

  • In an exothermic reaction, the reactants are higher in energy than the products

  • The reactants are therefore closer in energy to the transition state

  • This means that exothermic reactions have a lower activation energy compared to endothermic reactions

The reaction pathway diagram for exothermic reactions 

Graph of an exothermic reaction showing reactants, transition state, and products. Energy decreases, with negative ΔH, ending lower than reactants.
Exothermic reaction pathway diagrams always have the products lower in energy than the reactants

Endothermic reaction

  • In an endothermic reaction, the reactants are lower in energy than the products

  • The reactants are therefore further away in energy to the transition state

  • This means that endothermic reactions have a higher activation energy compared to exothermic reactions

The reaction pathway diagram for endothermic reactions 

Graph of an endothermic reaction showing energy versus reaction progress. Curve rises to transition state, then falls to products higher than reactants.
Endothermic reaction pathway diagrams always have the products higher in energy than the reactants

Worked Example

Drawing energy level diagrams of the combustion of methane

The Ea and ΔH for the complete combustion of methane are +2653 kJ mol-1 and –890 kJ mol-1 respectively.

Draw the reaction pathway diagram for this reaction

Answer

  • Step 1: The chemical equation for the complete combustion of methane is:

CH4 (g) + 2O2 (g) → CO2 (g) + 2H2O (l)

  • Step 2: Combustion reactions are always exothermic (ΔH is negative) so the reactants should be drawn higher in energy than the products

Energy level diagram step 2: axes of energy against extent of reaction, with CH4(g) + 2O2(g) as a higher level on the left and CO2(g) + 2H2O(l) as a lower level on the right.
  • Step 3: Draw the curve in the energy level diagram, clearly showing the transition state

Energy level diagram step 3: a curve rising from CH4(g) + 2O2(g) up to a transition state and falling to the lower level CO2(g) + 2H2O(l).
  • Step 4: Draw arrows to show the Ea and ΔH including their values

Completed reaction pathway diagram for the combustion of methane: the curve rises from CH4(g) + 2O2(g) to a transition state and falls to CO2(g) + 2H2O(l), with the activation energy Ea and the enthalpy change ΔH marked with their values.

Worked Example

Determining the activation energy

Determine, using the reaction pathway diagram, the Ea for the forward and reverse reaction. The diagram shows the products 70 kJ mol-1 above the reactants, and the transition state 20 kJ mol-1 above the products.

Reaction pathway diagram for an endothermic reaction: the products are 70 kJ per mol above the reactants and the transition state is 20 kJ per mol above the products.

Answer

  • The Ea is the energy difference from the energy level of the reactants to the top of the ‘hump’

  • Ea (forward reaction) = (+70 kJ mol-1) + (+ 20 kJ mol-1 ) = +90 kJ mol-1

  • As the question is asking for the reverse reaction, the Ea  is the energy difference from the energy level of the products to the ‘hump’

  • Ea (reverse reaction) = +20 kJ mol-1

Examiner Tips and Tricks

  • The activation energy is the energy difference from reactants to the transition state.

  • The enthalpy change of the reaction is the energy difference from reactants to products.

  • Remember to label the axis of the reaction pathway diagrams!

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Caroline Carroll

Author: Caroline Carroll

Expertise: Head of Content Delivery

Caroline graduated from the University of Nottingham with a degree in Chemistry and Molecular Physics. She spent several years working as an Industrial Chemist in the automotive industry before retraining to teach. Caroline has over 12 years of experience teaching GCSE and A-level chemistry and physics. She is passionate about delivering high-quality resources to help students achieve their full potential.

Lucy Kirkham

Reviewer: Lucy Kirkham

Expertise: Content Creator

Lucy has been a passionate Maths teacher for over 12 years, teaching maths across the UK and abroad helping to engage, interest and develop confidence in the subject at all levels.Working as a Head of Department and then Director of Maths, Lucy has advised schools and academy trusts in both Scotland and the East Midlands, where her role was to support and coach teachers to improve Maths teaching for all.